**Sinué Ontiveros 1, Roberto Jiménez 2, José A. Yagüe-Fabra 3,\* and Marta Torralba <sup>2</sup>**


Received: 6 July 2018; Accepted: 14 August 2018; Published: 17 August 2018

**Abstract:** Among the multiple factors influencing the accuracy of Computed Tomography measurements, the surface extraction process is a significant contributor. The location of the surface for metrological applications is generally based on the definition of a gray value as a characteristic of similarity to define the regions of interest. A different approach is to perform the detection or location of the surface based on the discontinuity or gradient. In this paper, an adapted 3D Deriche algorithm based on gradient information is presented and compared with a previously developed adapted Canny algorithm for different surface types. Both algorithms have been applied to nine calibrated workpieces with different geometries and materials. Both the systematic error and measurement uncertainty have been determined. The results show a significant reduction of the deviations obtained with the Deriche-based algorithm in the dimensions defined by flat surfaces.

**Keywords:** computed tomography; surface extraction; Canny algorithm; Deriche algorithm
